A 500-kg communications satellite is in a circular geosynchronous orbit and completes one revolution about the earth in 23 h and 56 min at an altitude of 35 800 km above the surface of the earth. Knowing that the radius of the earth is 6370 km, determine the kinetic energy of the satellite.

Q: A satellite is in a circular low Earth orbit at an altitude of  390 km  above the equator's surface.…

A:

Q: Estimate the kinetic energy of the Mars with respect to the Sun as the sum of the terms, that due to…

A: Given: Mass of Mars, M=6.4×1023 kg Radius of mars, rM=3.4×106  m Rotation period, t=24.7 h Orbital…

Q: Imagine that a space probe could be fired as a projectile from the Earth's surface with an initial…

A:

Q: Estimate the kinetic energy of the Mars with respect to the Sun as the sum of the terms, that due to…

A:

Q: An object revolves around the Earth in a circular orbit whose radius is five times that of the…

A: Given      Radius of circular orbit         R=5 Re        Re= Radius of earth       Mass of earth…

Q: A satellite is in elliptical orbit with a period of 8.00 * 10^4 s about a planet of mass 7.00 * 1024…

A: The radius of the perihelion is,

Q: A satellite of mass 175 kg is launched from a site on Earth's equator into an orbit at 180 km above…

A: As you have asked only solution of the part (c) so that I have solved only part (c). The answer of…

Q: Synchronous or stationary communications satellites are put into an orbit whose radius is r=…

A: Solution : Convert the separation angle from degrees to radians. 3.9°=3.9×π180=0.068 rad. Calculate…

Q: A uniform solid sphere of radius R = 0.74 km produces a gravitational acceleration of ag on its…

A:

Q: A satellite of mass 1250 kg is to be placed in a circular orbit at a height h=210 km above the…

A:

Q: speed at perigee

A:

Q: satellite (m=7420 kg) with an elliptical orbit has a speed of 2820 m/s at the apogee and 8450 m/s at…

A: Given data uP=8450 m/suA=2820 m/sm=7420 kg

Q: A space transportation vehicle releases a 470-kg communications satellite while in a circular orbit…

A:

Q: At the Earth's surface a projectile is launched straight up at a speed of 10.0 km/s. To what height…

A: Launch speed (u) = 10000 msRadius of earth (R) = 6370000 m Mass of earth (M) = 6×1024 kg Let the…

Q: What velocity would a satellite need to maintain a circular orbit at a height h = RE (RE = 6.37 x…

A:

Q: An uncrewed mission to the nearest star, Proxima Centauri, is launched from the Earth's surface as a…

A: Given data The initial speed of the spacecraft is given as u = 43.1 km/s.   Let us consider the…

Q: Find the gravitational potential energy of a 100kg artifical satellite when it is resting on its…

A: The expression for the gravitational potential energy,

Q: A satellite is in a circular low Earth orbit at an altitude of 356 km above the equator's surface.…

A:

Q: A rocket is fired straight up, and it burns out at an altitude of 250 km when traveling at 6.00 km/s…

A: Given Data  R = 6.37×106M = 5.98×1024G = 6.67×10-11N.m2kg2

Q: With what horizontal speed must a satellite be projected at 100 miles above the surface of the earth…

A: Given, Height of satellite above the surface from earth h = 100 miles  Radius of earth r = 4000…

Q: A 0.5-kg stone slides down a frictionless bowl, starting from rest at the rim. The bowl itself is a…

A: Given: mass of stone m = 0.5 kg. radius of hemisphere bowl R = 0.1 m.

Q: A satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from…

A: F=GmM/R2 ac =  v2/R. v= √(GM/R) v=4578.5 m/s

Q: The Earth’s orbit around the Sun is slightly elliptical. At Earth's closest approach to the Sun…

A:

Q: A satellite in an elliptical orbit has a speed of 9.00 km>s when it is at its closest approachto…

A:

Q: The orbit of Earth around the Sun is almost circular:The closest and farthest distances are 1.47 *…

A:

Q: In 2014, the Rosetta space probe reached the comet Churyumov– Gerasimenko. Although the comet’s core…

A:

Q: A 19 kg. rock is thrown straight down toward the Earth from a distance of 10 earth radii above the…

A: Given:- rock mass = 19 Kg d= 10 * 6370000 meters initial speed of 5400 m/s  mass of the earth is…

Q: A uniform solid sphere of radius R produces a gravitational acceleration of ag on its surface. At…

A: Given: A uniform solid sphere of radius R produces a gravitational acceleration of ag on its…

Q: The geostationary orbit is a unique circular orbit above the equator of a planet, for which the…

A:

Q: Problem 4: A satellite is traveling around a planet in a circular orbit with radius R. It moves in a…

A: (a) Write the expression of kinetic energy of the satellite in terms of m and v.

Q: Can you help me on p. 7.39

A:

Q: A satellite is in a circular low Earth orbit at an altitude of  328 km  above the equator's surface.…

A: It is given that,

Q: A satellite with mass 850 kg is placed in its orbit with the orbital radius of 4.5 x 107 m from the…

A: Gravitational Potential Energy is negative at the surface of Earth, because work is completed by the…

Q: Consider a satellite is moving around the earth. The specific energy and specific angular momentum…

A: Assume a satellite is moving around the Earth. Assume the semi major axis of Earth is denoted by a.…

Q: An Earth satellite has a perigee of 300 km an apogee of 3500 km above Earth’s surface. How far is…

A:

Q: A 639-kg satellite is in a circular orbit about Earth at a height ℎ=1.09e7h=1.09e7 m above the…

A: Given: Mass of satellite = 639 kg Height = 1.09 X 107 m Mass of the earth = 5.98 X 1024 kg Radius of…

Q: A 150-kg satellite is in a 310-km altitude stable circular orbit around earth. What is its orbital…

A: Given data The mass of the satellite is m = 150 kg The altitude of the circular orbit is H = 310 km…

Q: What are (a) the speed and (b) the period of a 220 kg satellite in an approximately circular orbit…

A:

Q: You are exploring a distant planet. When your spaceship is in a circular orbit at a distance of 630…

A: height of spaceship above the surface of a planet (h) = 630 km radius of planet (R) = 4.48×106 m…

Q: The Martian satellite Phobos travels in an approximately circular orbit of radius 9.4* 10^6 m with a…

A: The radius of the orbit,

Q: A satellite orbits a planet of unknown mass in a circle of radius 2.0 * 10^7 m. The magnitude of the…

A:

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.